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Paper Title:
Compactly Supported Interpolatory Orthogonal Multiwavelet Packets
Author(s):
Yang Shouzhi
Department of Mathematics,
Shantou University,
Shantou, Po Box 515063,
P.R.China.
szyang@stu.edu.cn
Abstract:
Compactly supported interpolatory orthogonal multiwavelet packets
are introduced. Precisely, if both the multiscaling function and
the corresponding multiwavelet have the same interpolatory
property, then the multiwavelet packets are also interpolatory
orthogonal. Thus, the coefficients of decomposition or synthesis
of multiwavelet packets can be realized by sampling instead of inner
products. This multiwavelet packets provide a finer decomposition
of multiwavelet packets space and give a better localization.
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